带有斜边值条件的 Hessian 商方程解的梯度估计

带有斜边值条件的 Hessian 商方程解的梯度估计

Gradient Estimate of Solutions to Hessian Quotient Equations with Oblique Boundary Value

摘要/Abstract

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数学物理学报 ›› 2025, Vol. 45 ›› Issue (2): 493-511.

陈娜(),王培合^*()

曲阜师范大学数学科学学院山东曲阜 273165

收稿日期:2023-08-30 修回日期:2024-09-03 出版日期:2025-04-26 发布日期:2025-04-09
通讯作者: 王培合 E-mail:nachen93@163.com;peihewang@hotmail.com
作者简介:陈娜，E-mail:nachen93@163.com
基金资助:
山东省自然科学基金(ZR2020MA018)

Na Chen(),Peihe Wang^*()

School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165

Received:2023-08-30 Revised:2024-09-03 Online:2025-04-26 Published:2025-04-09
Contact: Peihe Wang E-mail:nachen93@163.com;peihewang@hotmail.com
Supported by:
Natural Science Foundation of Shandong Province of China(ZR2020MA018)

摘要：

该文研究了具有预定夹角边值条件或斜导数边值条件的 Hessian 商方程. 最后得到了 $k$ -允许解的整体梯度估计.

关键词: Hessian 商方程, 预定夹角边值, 斜导数边值, 梯度估计

Abstract:

In this paper, the Hessian quotient equations with prescribed contact angle boundary value or oblique derivative boundary value problem are studied. Finally a priori global gradient estimate for the $k$ -admissible solutions is derived.

Key words: Hessian quotient equation, prescribed contact angle boundary value, oblique derivative boundary value, gradient estimate

中图分类号:

O175.23

陈娜,王培合. 带有斜边值条件的 Hessian 商方程解的梯度估计[J]. 数学物理学报, 2025, 45(2): 493-511.

Na Chen,Peihe Wang. Gradient Estimate of Solutions to Hessian Quotient Equations with Oblique Boundary Value[J]. Acta mathematica scientia,Series A, 2025, 45(2): 493-511.

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